Finding the Third Proportional to 2,698.50 and 5,811

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698.50 : 5,811 = 5,811 : x
2. Step 2: Convert to fraction form
   2,698.50/5,811 = 5,811/x
3. Step 3: Cross multiply
   2,698.50x = 5,811 × 5,811
4. Step 4: Simplify right side
   2,698.50x = 33,767,721
5. Step 5: Solve for x
   x = 33,767,721/2,698.50
6. Step 6: Final answer
   x = 12,513.52